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Stability of the generalized logarithmic functional equations arising from fixed point theory.
- Source :
- Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales / RACSAM; Jan2018, Vol. 112 Issue 1, p229-238, 10p
- Publication Year :
- 2018
-
Abstract
- Let $$\mathbb {K}$$ , $$\mathbb {F}$$ be two fields of real or complex numbers and X be a normed space over field $$\mathbb {F}$$ . In this paper, we consider the following generalized logarithmic functional equation: where f maps from $$\mathbb {K}$$ into X, $$a,b\in \mathbb {Z}{\setminus }\{0\}$$ and $$A, B\in \mathbb {F}$$ . By using the fixed point method, the generalized Hyers-Ulam stability results for such functional equation are proved. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 15787303
- Volume :
- 112
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Revista de la Real Academia de Ciencias Exactas, FĂsicas y Naturales / RACSAM
- Publication Type :
- Periodical
- Accession number :
- 127147717
- Full Text :
- https://doi.org/10.1007/s13398-017-0375-x